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Finding the Third Proportional to 65,000 and 98,300

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Solution

The third proportional to 65,000 and 98,300 is: 148,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,000 : 98,300 = 98,300 : x
  2. Step 2: Convert to fraction form
    65,000/98,300 = 98,300/x
  3. Step 3: Cross multiply
    65,000x = 98,300 × 98,300
  4. Step 4: Simplify right side
    65,000x = 9,662,890,000
  5. Step 5: Solve for x
    x = 9,662,890,000/65,000
  6. Step 6: Final answer
    x = 148,659.85

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.